A circular arc subtends angle 150° at the centre of a circle of radius 12cm. Calculate the area of the sector of the arc.
-
A.
30(pi) cm(^2) -
B.
60(pi) cm(^2) -
C.
120(pi) cm(^2) -
D.
150(pi) cm(^2)
Correct Answer: Option B
Explanation
Area of sector = (frac{theta}{360°} times pi r^{2})
= (frac{150}{360} times pi times 12^{2})
= 60(pi) cm(^{2})
There is an explanation video available below.